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Sections 4.2-4.4 Quiz (36 pts.) Show All Work. Name: _______________________________________ *****All trig ratios should be in fully simplified irrational form – No decimal approximations***** *****Degree measures must have a degree symbol and trig functions must have an argument***** Find the coordinates of the point x, y that correspond to where the given angle intersects the unit circle (1 pt. each): 1) 210 2) 5 2 3) 13 4 4) 300 Find the exact values of the six trigonometric functions of the angle shown in the right triangle below (4 pts.): 5) 15 11 The given point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle (4 pts.): 6) 2, 3 Find the exact values of the six trigonometric functions satisfying the given conditions (4 pts.): 7) csc 2 3 , cos 0 3 Evaluate (if possible) the six trigonometric functions of the real number (4 pts.): 8) 15 4 Use the given function value(s) and the trigonometric identities to find the indicated trigonometric functions (4 pts.): 9) sec 5 , tan 2 6 a) cos b) cos c) cot 90 d) sin Solve the following problems (4 pts. each): 10) A 50-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an angle of 0.5 radian with the ground. What is the height of the balloon? You may give a decimal approximation for your answer. 11) In traveling across flat land you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 1.5 . After you drive 17 miles closer to the mountain, the angle of elevation is 6 . Approximate the height of the mountain. Use a calculator to evaluate each function. Round your answers to the nearest thousandth. You may use a decimal approximation for your answer (1 pt. each): 12) csc 13252'12" 15 13) tan 2 14) cos 112.341 15) sec 17